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Stochastic Dominance on Unidimensional Grids
Mathematics of Operations Research, 1995Special stochastic-dominance relations for probability distributions on a finite grid of evenly-spaced points are considered. The relations depend solely on iterated partial sums of grid-point probabilities and are very computer efficient. Their corresponding classes of utility functions for expected-utility comparisons consist of functions defined on
Peter C. Fishburn, Irving H. Lavalle
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Operational asymptotic stochastic dominance
European Journal of Operational Research, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rachel J. Huang +3 more
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Stochastic dominance and optimal portfolio [PDF]
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K. Dachraoui, G. Dionne
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European Journal of Operational Research, 2014
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Stochastic Dominance and Moment Inequalities
Mathematics of Operations Research, 1984For any distribution function (df) F, define F1 = F and Fn+1 (x) = ∫−∞x Fn(y) dy. For two df's F and G, we obtain a relationship between the behaviour of Gn(x) − Fn(x) for large x and certain inequalities involving the moments of F and G. In particular, we generalize Fishburn's theorem, which deduces such inequalities from the condition that Gn(x ...
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METRIZATION OF STOCHASTIC DOMINANCE RULES [PDF]
We consider a new approach towards stochastic dominance rules which allows measuring the degree of domination or violation of a given stochastic order and represents a way of describing stochastic orders in general. Examples are provided for the n-th order stochastic dominance and stochastic orders based on a popular risk measure.
Stoyanov, S. V. +2 more
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Aspects of optimization with stochastic dominance
Annals of Operations Research, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
William B. Haskell 0001 +2 more
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Stochastic dominance with nonadditive probabilities
ZOR Zeitschrift f�r Operations Research Methods and Models of Operations Research, 1993Summary: Choquet expected utility which uses capacities (i.e. nonadditive probability measures) in place of \(\sigma\)-additive probability measures has been introduced to decision making under uncertainty to cope with observed effects of ambiguity aversion like the Ellsberg paradox.
Rainer Dyckerhoff, Karl Mosler
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Prospect and Markowitz stochastic dominance [PDF]
Levy and Levy (2002, 2004) develop the Prospect and Markowitz stochastic dominance theory with S-shaped and reverse S-shaped utility functions for investors. In this paper, we extend Levy and Levy's Prospect Stochastic Dominance theory (PSD) and Markowitz Stochastic Dominance theory (MSD) to the first three orders and link the corresponding S-shaped ...
Wing-Keung Wong, Raymond Honfu Chan
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Stochastic Dominance of Pension Plans
Metroeconomica, 2003We compare different possibilities to reform a funded pension plan, whose balance is threatened by a decrease in mortality rates. Since the plan is mandatory, the welfare of employees might be reduced if contributions increase or if the retirement age is raised. An empirical study of Israeli data shows that a reform which decreases the pension benefits
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